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Finding the Third Proportional to 1,569,708 and 3,281,544

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Solution

The third proportional to 1,569,708 and 3,281,544 is: 6,860,212.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569,708 : 3,281,544 = 3,281,544 : x
  2. Step 2: Convert to fraction form
    1,569,708/3,281,544 = 3,281,544/x
  3. Step 3: Cross multiply
    1,569,708x = 3,281,544 × 3,281,544
  4. Step 4: Simplify right side
    1,569,708x = 10,768,531,023,936
  5. Step 5: Solve for x
    x = 10,768,531,023,936/1,569,708
  6. Step 6: Final answer
    x = 6,860,212.87

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.